Answer:
140.25°
Step-by-step explanation:
Angle 1 and Angle (3x+12) share the exact same angle since they are congruent. Knowing this, you can replace angle 1 with (3x+12). Math tells you that supplementary angles are two angles that add up to 180 degrees.
(x-3) and (3x+12) are supplementary. Since they are supplementary and math tells me that two angles add up to 180. I can add (x-3) and (3x+12). But to finish the equation, both of these angles must equal 180.
Your equation should look something like this (it should look like this):
[tex](x-3)+(3x+12)=180[/tex]
From there you can simplify and isolate the x value to solve for x. Your x value is 42.75. But, we are not done here.
Now that we know x, which is just a placeholder, we must replace the placeholder with its actual numerical value (42.75).
3(42.75) + 12 = 140.25.
To make sure both angles equal up to 180.
Replace all x's with 42.75 and you will see that they equal 180.
[tex](3(42.75)+12)+(42.75 - 3) = 180[/tex]
[tex]180=180[/tex]✅
